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Chinese Physics, 2005, Vol. 14(7): 1290-1295    DOI: 10.1088/1009-1963/14/7/004
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Hyperbolic function method for solving nonlinear differential-different equations

Zhu Jia-Min (朱加民)
Department of Physics, Lishui University, Lishui 323000, China
Abstract  An algorithm is devised to obtained exact travelling wave solutions of differential-different equations by means of hyperbolic function. For illustration, we apply the method to solve the discrete nonlinear (2+1)-dimensional Toda lattice equation and the discretized nonlinear mKdV lattice equation, and successfully constructed some explicit and exact travelling wave solutions.
Keywords:  discrete (2+1)-dimensional Toda lattice equation      discretized mKdV lattice equation      travelling wave solutions      hyperbolic function approach  
Received:  21 October 2004      Revised:  03 December 2004      Accepted manuscript online: 
PACS:  05.50.+q (Lattice theory and statistics)  
  05.45.-a (Nonlinear dynamics and chaos)  
  02.30.-f (Function theory, analysis)  
  45.05.+x (General theory of classical mechanics of discrete systems)  
Fund: Project supported by the NationalNatural Science Foundation of China (Grant No 10172056) and the Outstanding Youth Foundation of Lishui University, China (Grant No QN04008)

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Zhu Jia-Min (朱加民) Hyperbolic function method for solving nonlinear differential-different equations 2005 Chinese Physics 14 1290

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